Math 145. Problem solving. Fall 2013.
Tentative class schedule with homework assignments
This schedule is subject to change.
| Sep 5 | Last day to ADD classes without instructor permission | ||
| Sep 19 | Last day to DROP classes without a serious and compelling reason and without a grade of W (withdrawal) listed on university transcript | ||
| Nov 19 | Last day to WITHDRAW from a course for a serious and compelling reasons | ||
| Date | Chapter and Topic | Problem(s) of the day | Homework due at 1 PM (bring to class) |
|---|---|---|---|
| Aug 23 | 1. Introduction Problem solving steps and strategies First two chapters of the book |
none | Problems from the Mathematics Magazine (for extra credit; due November 1) |
| Aug 26 | 1.5 | ||
| Aug 28 | 2. Logic | 2.10 (all parts) | |
| Aug 30 | 2.11 (b,d,f) required; other parts optional | ||
| Sep 2 | Labor Day - no classes | ||
| Sep 4 | 3. Types of proofs | 3.8 | |
| Sep 6 | 3.10 | homework 1: 2.4, 2.6, 2.8(a,c,e) |
|
| Sep 9 | 4. Principle of mathematical induction | 4.5(d) | |
| Sep 11 | 4.7 | ||
| Sep 13 | 4.12 | homework 2: 3.2, 3.4, 3.6, 3.12 |
|
| Sep 16 | 5. Dirichlet's box principle | 5.2 | |
| Sep 18 | 5.6 | ||
| Sep 20 | 5.20 | homework 3: any 3 problems from: 4.4, 4.5(b), 4.6, 4.8, 4.10, 4.14 |
|
| Sep 23 | 6. Number theory | 6.2 | |
| Sep 25 | 6.10 | ||
| Sep 27 | 6.12 | homework 4: any 3 problems from: 5.4, 5.8, 5.10, 5.12, 5.14, 5.16, 5.18, 5.22, 5.24, 5.26 |
|
| Sep 30 | Review: Practice test 1, Solutions
See also Fall 2005 Practice test 1, Solutions, and tests given in this class in Fall 2003, Fall 2005, and Fall 2009 |
none | |
| Oct 2 | Test 1 (covers chapters 2-5) | none | |
| Oct 4 | 7. Case analysis | 7.2(c) | homework 5: any 3 problems from: 6.6, 6.8, 6.14, 6.16, 6.18, 6.20, 6.22, 6.24, 6.25 |
| Oct 7 | 7.8(a) | Oct 8: Deadline for Putnam Exam's registration (contact Dr. Stefaan Delcroix, PB 354, 278-2555, sdelcroix@csufresno.edu) | |
| Oct 9 | 7.12 | ||
| Oct 11 | 8. Finding a pattern | 8.4 | homework 6: 3 problems total any 1 or 2 problem(s) from: 6.29, 6.30, 6.32, 6.33, 6.35, and 1 or both of: 7.2(a,b), 7.4 |
| Oct 14 | How many of the first 100 Fibonacci numbers are divisible by 3? (See 8.15 for a similar problem.) | ||
| Oct 16 | 9. Invariants | 9.4 | |
| Oct 18 | 9.12 | homework 7: 3 problems total any 1 problem from: 7.8(c), 7.10(b), 7.13(b), and any 2 problems from: 8.2, 8.6, 8.8, 8.12, 8.14 |
|
| Oct 21 | 9.18 | ||
| Oct 23 | 10. Coloring | 10.2 | |
| Oct 25 | 10.14 | homework 8: any 3 problems from: 9.2, 9.6, 9.8, 9.10, 9.14, 9.16 for extra credit: 9.20, 9.22, 9.24 |
|
| Oct 28 | 10.16 | Due Nov 1: Problems from the Mathematics Magazine (for extra credit) | |
| Oct 30 | Review for test 2: Practice test 2,
Solutions
See also Fall 2005 Practice test 2, Solutions, and tests given in this class in Fall 2003 and Fall 2005 |
none | |
| Nov 1 | Test 2 (covers chapters 6-9) | none | |
| Nov 4 | 11. Areas and volumes |
11.2 (solve in at least 2 different ways) | |
| Nov 6 | 11.12 | ||
| Nov 8 | (Chapter 12 is optional and will not be discussed in class) 13. Graphs |
13.6(a,b) | homework 9: any 3 problems from: 10.4, 10.6, 10.8, 10.10, 10.12, 10.20, 10.22 for extra credit: 10.18 (all parts; 10 points total; will be graded only if all yes/no answers to (b)-(d) are correct) |
| Nov 11 | Veterans Day, no classes | ||
| Nov 13 | 13. Graphs (continued) | 13.12 | |
| Nov 15 | 13.16 (clarification: we assume that the relation "a knows b" is symmetric) | homework 10: any 3 problems from: 11.4, 11.8, 11.14, 11.16, 11.18, 11.22 |
|
| Nov 18 | 14. Working backwards | 14.4 | |
| Nov 20 | 14.10 | ||
| Nov 22 | 15. Calculus | 15.6 | homework 11: any 3 problems from: 13.2, 13.4, 13.6(c,d), 13.8, 13.10, 13.14, 13.18 for extra credit: 12.2, 12.12, 12.16, 12.18 |
| Nov 25 | 15.12 | ||
| Nov 27 | Thanksgiving recess - no classes, no office hours | ||
| Nov 29 | |||
| Dec 2 | 15. Calculus (continued) | 15.14 | homework 12: any 3 problems from: 14.5(ce), 14.6, 14.8, 14.12, 14.14, 14.16, 14.20 |
| Dec 4 | Review: Practice test 3, Solutions; see also tests given in this class in Fall 2003, Fall 2005, and Fall 2009 | none | |
| Dec 6 | Test 3 (covers chapters 10, 11, 13, 14) | none | |
| Dec 9 | Review See the Fall 2009, Fall 2005, and Fall 2003 pages for old final exams and more practice problems |
16.6 or 16.12 (your choice) | homework 13: any 3 problems from: 15.4, 15.8, 15.10, 15.16, 15.22, 15.24, 15.26, 15.30, 15.36, 15.40 |
| Dec 11 | none | ||
| Dec 12 | Faculty consultation day. Office hours: 9-10:30 in PB 340. | ||
| Dec 13 | Faculty consultation day. Office hours: 9-10:30 in PB 340. Math 145 consultation hours: 1-1:50 in S1 141 | ||
| Dec 16 | 1:15-3:15 PM: Final exam (cumulative) (Note: those who have three final exams scheduled on Dec 16 may take the Math 145 final exam on Tuesday, Dec 17, 9:00-11:00 in PB 390.) |
||